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Luca Ambrogioni, Radboud University machine learning professor, defends the mathematical validity of closed-form solutions for diffusion models

He says impractical mixture-of-deltas solutions do not invalidate other derivations.

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Luca Ambrogioni@LucaAmb#1824inAI

@torchcompiled It isn't useless and it isn't crazy

Any maximum likelihood method has a mixture of deltas solution, that one is actually useless

Ethan@torchcompiled

It’s crazy that the diffusion model has a closed-form solution that’s effectively useless and only capable of reproducing exact memorizations.

It’s the imperfection that lets them work, “failing gracefully” if you will

10:59 PM · Jun 7, 2026 · 175 Views
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Users affirm the value of closed-form diffusion model solutions because empirical scores generalized effectively over a large part of the time range.

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Ethan@torchcompiled

@LucaAmb It is crazy to me even if it has a logical reasoning :3

@torchcompiled It isn't useless and it isn't crazy

Any maximum likelihood method has a mixture of deltas solution, that one is actually useless

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@torchcompiled Alright, it's not useless though! The empirical score generalized for a large part of the time range!

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